<u>Given</u>:
The length of DE is 8 cm and the measure of ∠ADE is 60°.
We need to determine the surface area of the pyramid.
<u>Length of AD:</u>
The length of AD is given by
Length of AD = 8 cm
<u>Slant height:</u>
The slant height EF can be determined using the trigonometric ratio.
Thus, we have;
Thus, the slant height EF is 4√3
<u>Surface area of the square pyramid:</u>
The surface area of the square pyramid can be determined using the formula,
Substituting the values, we have;
The exact form of the area of the square pyramid is 
Substituting √3 = 1.732 in the above expression, we have;
Rounding off to one decimal place, we get;
Thus, the area of the square pyramid is 174.8 cm²
Answer:
Step-by-step explanation:
12x - 3 = 180 - (7x - 26) supplementary angles
19x = 209
x = 11
m∠DEC = 12(11) - 3 = 129°
m∠BCE = 7(11) - 26 = 51°
M∠ADE = 129 - 72 = 57° exterior angle rule
m∠EDB = 180 - 57 = 123° supplementary angles
m∠DBC = 57° corresponding angle to ADE
Answer:
Yea sure.
Step-by-step explanation:
Answer:
15.50h + 50 > 400
Step-by-step explanation:
Given;
Weekly salary = $50 per week
Additional pay = $15.50 per hour
The variable h represent the number of hours worked per week
The total amount earn per week is;
Weekly salary + total additional pay per week
50 + 15.50h
To earn more than $400 this week, the total amount earned in a week must be greater than 400;
15.50h + 50 > 400
Solving the equation we have;
15.50h > 400-50
h > (400-50)/15.50
h > 22.58 hours per week.
